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127413640544 = 251713915111159
BaseRepresentation
bin111011010101001110…
…0011101110101100000
3110011212200020120102212
41312222130131311200
54041420342444134
6134311044301252
712130300034531
oct1665234356540
9404780216385
10127413640544
114a043750a83
122083a6a1828
13c0270c9518
146249bb8688
1534aac79bce
hex1daa71dd60

127413640544 has 96 divisors (see below), whose sum is σ = 269307763200. Its totient is φ = 59128473600.

The previous prime is 127413640531. The next prime is 127413640573. The reversal of 127413640544 is 445046314721.

127413640544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11412437 + ... + 11423595.

It is an arithmetic number, because the mean of its divisors is an integer number (2805289200).

Almost surely, 2127413640544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127413640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134653881600).

127413640544 is an abundant number, since it is smaller than the sum of its proper divisors (141894122656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127413640544 is a wasteful number, since it uses less digits than its factorization.

127413640544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 127413640544 in words is "one hundred twenty-seven billion, four hundred thirteen million, six hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 139 151 272 278 302 544 556 604 1112 1208 2224 2363 2416 2567 4448 4726 4832 5134 9452 10268 11159 18904 20536 20989 22318 37808 41072 41978 44636 75616 82144 83956 89272 167912 178544 189703 335824 356813 357088 379406 671648 713626 758812 1427252 1517624 1551101 1685009 2854504 3035248 3102202 3370018 5709008 6070496 6204404 6740036 11418016 12408808 13480072 24817616 26368717 26960144 28645153 49635232 52737434 53920288 57290306 105474868 114580612 210949736 229161224 234216251 421899472 458322448 468432502 843798944 916644896 936865004 1873730008 3747460016 3981676267 7494920032 7963352534 15926705068 31853410136 63706820272 127413640544